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Sensors 2016, 16(12), 2203; doi:10.3390/s16122203

Topological Path Planning in GPS Trajectory Data

School of Computer Science & Informatics, Cardiff University, Queen’s Buildings, 5 The Parade, Roath, Cardiff CF24 3AA, UK
Received: 19 October 2016 / Revised: 12 December 2016 / Accepted: 16 December 2016 / Published: 21 December 2016
(This article belongs to the Section Remote Sensors)
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Abstract

This paper proposes a novel solution to the problem of computing a set of topologically inequivalent paths between two points in a space given a set of samples drawn from that space. Specifically, these paths are homotopy inequivalent where homotopy is a topological equivalence relation. This is achieved by computing a basis for the group of homology inequivalent loops in the space. An additional distinct element is then computed where this element corresponds to a loop which passes through the points in question. The set of paths is subsequently obtained by taking the orbit of this element acted on by the group of homology inequivalent loops. Using a number of spaces, including a street network where the samples are GPS trajectories, the proposed method is demonstrated to accurately compute a set of homotopy inequivalent paths. The applications of this method include path and coverage planning. View Full-Text
Keywords: path planning; GPS trajectory; topology path planning; GPS trajectory; topology
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Corcoran, P. Topological Path Planning in GPS Trajectory Data. Sensors 2016, 16, 2203.

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